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Advances in High Energy Physics
Volume 2015, Article ID 986570, 8 pages
http://dx.doi.org/10.1155/2015/986570
Research Article

A Chargeless Complex Vector Matter Field in Supersymmetric Scenario

1CEFET/RJ UnED Petrópolis, 25620-003 Petrópolis, RJ, Brazil
2Instituto de Física, University of Brasília, Brasília, DF, Brazil
3International Center for Condensed Matter Physics, University of Brasília, CP 04513, 70919-970 Brasília, DF, Brazil

Received 25 April 2015; Revised 25 June 2015; Accepted 26 July 2015

Academic Editor: Shaaban Khalil

Copyright © 2015 L. P. Colatto and A. L. A. Penna. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The publication of this article was funded by SCOAP3.

Abstract

We construct and study a formulation of a chargeless complex vector matter field in a supersymmetric framework. To this aim we combine two nochiral scalar superfields in order to take the vector component field to build the chargeless complex vector superpartner where the respective field strength transforms into matter fields by a global gauge symmetry. For the aim of dealing with consistent terms without breaking the global symmetry we imposes a choice to the complex combination revealing a kind of symmetry between the choices and eliminates the extra degrees of freedom which is consistent with the supersymmetry. As the usual case the mass supersymmetric sector contributes as a complement to dynamics of the model. We obtain the equations of motion of the Proca’s type field for the chiral spinor fields and for the scalar field on the mass-shell which show the same mass as expected. This work establishes the first steps to extend the analysis of charged massive vector field in a supersymmetric scenario.